Wrapped \(M2/M5\) Duality

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Wrapped \(M2/M5\) Duality

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Title: Wrapped \(M2/M5\) Duality
Author: Guica, Monica; Strominger, Andrew E.

Note: Order does not necessarily reflect citation order of authors.

Citation: Guica, Monica, and Andrew E. Strominger. 2009. Wrapped \(M2/M5\) duality. Journal of High Energy Physics 2009(10): 36.
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Abstract: A microscopic accounting of the entropy of a generic 5D supersymmetric rotating black hole, arising from wrapped \(M2\)-branes in Calabi-Yau compactified \(M\)-theory, is an outstanding unsolved problem. In this paper we consider an expansion around the zero-entropy, zero-temperature, maximally rotating ground state for which the angular momentum \(J_L\) and graviphoton charge \(Q\) are related by \({J_L}^2 = Q^3\). At \(J_L = 0\) the near horizon geometry is \(AdS_2 × S^3\). As \({J_L}^2 → Q^3\) it becomes a singular quotient of \(AdS_3 × S^2\): more precisely, a quotient of the near horizon geometry of an \(M5\) wrapped on a 4-cycle whose self-intersection is the 2-cycle associated to the wrapped-\(M2\) black hole. The singularity of the \(AdS_3\) quotient is identified as the usual one associated to the zero-temperature limit, suggesting that the (0,4) wrapped-\(M5\) CFT is dual near maximality to the wrapped-\(M2\) black hole. As evidence for this, the microscopic (0,4) CFT entropy and the macroscopic rotating black hole entropy are found to agree to leading order away from maximality.
Published Version: doi:10.1088/1126-6708/2009/10/036
Other Sources: http://arxiv.org/abs/hep-th/0701011
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:8156532
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